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11226222254052 = 22321334769128687
BaseRepresentation
bin1010001101011100111011…
…1111010101011111100100
31110202012211201201212222100
42203113032333111133210
52432412300344112202
635513131051332100
72236032152464521
oct243271677253744
943665751655870
1011226222254052
113639017882753
121313873151030
13635822263290
142ab4d0084148
15147046c8541c
hexa35cefd57e4

11226222254052 has 72 divisors (see below), whose sum is σ = 30648342082176. Its totient is φ = 3444267651264.

The previous prime is 11226222254047. The next prime is 11226222254069. The reversal of 11226222254052 is 25045222262211.

11226222254052 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 6 + 22 + 225 + 405 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11226222253998 and 11226222254016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34401948 + ... + 34726739.

It is an arithmetic number, because the mean of its divisors is an integer number (425671417808).

Almost surely, 211226222254052 is an apocalyptic number.

11226222254052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11226222254052 is an abundant number, since it is smaller than the sum of its proper divisors (19422119828124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11226222254052 is a wasteful number, since it uses less digits than its factorization.

11226222254052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69129057 (or 69129052 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 11226222254052 in words is "eleven trillion, two hundred twenty-six billion, two hundred twenty-two million, two hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 347 468 694 1041 1388 2082 3123 4164 4511 6246 9022 12492 13533 18044 27066 40599 54132 81198 162396 69128687 138257374 207386061 276514748 414772122 622158183 829544244 898672931 1244316366 1797345862 2488632732 2696018793 3594691724 5392037586 8088056379 10784075172 16176112758 23987654389 32352225516 47975308778 71962963167 95950617556 143925926334 215888889501 287851852668 311839507057 431777779002 623679014114 863555558004 935518521171 1247358028228 1871037042342 2806555563513 3742074084684 5613111127026 11226222254052